Converting 0.1904 to a Fraction
Step-by-step explanation of how to convert 0.1904 to a fraction

Result

0.1904 =
119
625

Step 1: Identify the number of decimal places

The decimal 0.1904 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1904 × 10000 = 1904

Step 3: Write as a fraction

0.1904 =

1904
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1904 and 10000.

GCD(1904, 10000) = 16

Divide both the numerator and denominator by the GCD:

1904
10000

=

1904 ÷ 16
10000 ÷ 16

=

119
625
Related Conversions
Other decimal to fraction conversions you might find useful